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Finding the Fourth Proportional to 172,715.64, 258,967.93 and 82,785.87

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Solution

The fourth proportional to 172,715.64, 258,967.93 and 82,785.87 is: 124,128.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,715.64 : 258,967.93 = 82,785.87 : x
  2. Step 2: Convert to fraction form
    172,715.64/258,967.93 = 82,785.87/x
  3. Step 3: Cross multiply
    172,715.64x = 258,967.93 × 82,785.87
  4. Step 4: Simplify right side
    172,715.64x = 21,438,884,973.22
  5. Step 5: Solve for x
    x = 21,438,884,973.22/172,715.64
  6. Step 6: Final answer
    x = 124,128.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.